1 citations · 2 across the 8 of their papers we have counts for
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On 2D Scattering for a Critical Nonlinear Schrödinger Flow
Vladimir Georgiev, Tohru Ozawa
We study modified scattering for the two-dimensional defocusing nonlinear Schrödinger equation (NLS) with the gauge-invariant, scattering-critical nonlinearity . We prove tha…
Local and global well-posedness in the -setting for the Q-tensor model in and
Daniele Barbera, Vladimir Georgiev, Miho Murata +1
The paper studies the Q-tensor model for nematic liquid crystals, a system that couples a Navier-Stokes equation with an evolution equation for the order parameter tensor Q. The fi…
NLS with mass-subcritical combined nonlinearities: small mass -scattering
Jacopo Bellazzini, Luigi Forcella, Vladimir Georgiev
We prove small data scattering in the mass-subcritical regime for the NLS equation with double nonlinearities, where a focusing leading term is perturbed by a lower order defocusin…
On completeness of modified wave operators for defocusing NLS
Vladimir Georgiev, Tohru Ozawa
In this manuscript, we study modified scattering for the nonlinear defocusing Schrödinger equation with a critical gauge-invariant nonlinearity of order 1+2/n. We address the follo…
Local well-posedness and blow-up in the energy space for the 2D NLS with point interaction
Luigi Forcella, Vladimir Georgiev
We consider the two-dimensional nonlinear Schrödinger equation with point interaction and we establish a local well-posedness theory, including blow-up alternative and continuous d…
A generalised Nehari manifold method for a class of non linear Schrödinger systems in
Tommaso Cortopassi, Vladimir Georgiev
We study the existence of positive solutions of a particular elliptic system in composed of two coupled non linear stationary Schrödinger equations (NLSEs), that is…
Local and global existence for the Ericksen-Leslie problem in unbounded domains
Daniele Barbera, Vladimir Georgiev
The work deals with the Ericksen-Leslie model for nematic liquid crystals on the whole space, the half-space and on exterior domains with smooth boundary. The crystal orientation i…
Zero resonances for localised potentials
Vladimir Georgiev, Jens Wirth
This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow to provide estimates for the first…